Welcome to the site. I am always happy to welcome a fellow Rush fan to the forums, since they are my favorite band. I also like most of the other bands that you have listed. I think that you will find plenty of additional bands during your visits to PA to appeal to your tastes.
A band that I always like to recommend to fans of Rush is Tiles. Their Present of Mind album is really very good. The producer on their albums is Terry Brown, and Alex Lifeson makes a guest appearance on their latest album, Fly Paper. Other progressive metal bands that you might enjoy would include Shadow Gallery, Enchant, Thought Chamber, Psychotic Waltz, and DeadSoul Tribe. My favorite prog metal artist is probably Ayreon, so if you aren't familiar with his rock operas you might want to check him out.
Not on prog archives, but a band that might appeal to your Iron Maiden side might be Iced Earth. I'm not sure if you are familiar with them, but they are heavily influenced by Iron Maiden, Blue Oyster Cult, and Judas Priest.
That's all for now, but if you like those recommendations, I will certainly be happy to try and recommend some others.